Geometric Group Theory - 2020
is a joint Düsseldorf - Gliwice seminar organized in October 2020
Questions and Comments
- One comment on a role of Continuum Hypothesis in group theory.
- A comment about elementarily equivalent groups.
- A direct short proof of the fact that S_3 cannot be a subgroup of a quasi-finite group.
- a) A short proof that the Thue-Morse sequence is cubefree is contained
in the book of Lothaire "Algebraic combinatorics on words" (Proposition 3.1.1).
b) A short proof that there exists a squarefree sequence in the alphabet a,a^{-1}, b, b^{-1}
is contained in the paper of Adian:
Адян С. И., Проблема Бернсайда и связанные с ней вопросы, УМН, том 65, выпуск 5(395) (2010),
5-60.
It seems that this proof contains misprints (see formula (5) there).
- A question about elementary equivalence and acylindricity.
- A short survey on the elementary equivalence in the classes of finite-by-nilpotent and virtually free groups.
- Pictures explaining distinguished systems of contiguity submaps and their graphs..
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